SOLUTION: <pre> 55 4Z)275 In the division problem above, there was no remainder. What is the remainder when 24 is divided by z ? (A) 1

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: <pre> 55 4Z)275 In the division problem above, there was no remainder. What is the remainder when 24 is divided by z ? (A) 1       Log On


   



Question 254119:
                

55
4Z)275
In the division problem above, there was no remainder. What is the remainder when 24 is divided by z ?
(A) 1 (B) 4 (C) 5 (D) 6 (E) 12

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
              55
          4Z)275

In the division problem above, there was no remainder. What is the remainder when 24 is divided by z ?

(A) 1       (B) 4    (C) 5     (D) 6       (E) 12 

Since 275%2F4Z+=+55, then 220Z=275 or Z=275%2F220=5%2F4 

So 24%2F%285%2F4%29=24%2A%284%2F5%29=+96%2F5

  19
5)96
  5
  46
  45
   1

So the remainder is 1.  Choice (A)

Edwin